Coursebooks

Quantum field theory I

PHYS-431

Lecturer(s) :

Rattazzi Riccardo

Language:

English

Summary

The goal of the course is to introduce relativistic quantum field theory as the conceptual and mathematical framework describing fundamental interactions.

Content

1. Introduction

Fundamental motivations for quantum field theory, Natural units of measure, Overview of the Standard Model of particle physics.

2. Classical Field Theory Lagrangian and Hamiltonian formulation.

3. Symmetry Principles Elements of group theory, Lie groups, Lie Algebras, group representations, Lorentz and Poincaré groups.

4. Noether theorem conserved currents, conserved charges, the conserved charges of the Poincarè group and their interpretation.

4. Canonical quantization of  real and complex scalar fields. Creation and annihilation operators. Fock space. Bose statistic. Heisenberg picture field. Realization of symmetries in the quantum theory.

5. Spinorial representations of the Lorentz group. Weyl, Majorana and Dirac spinors and their wave equations. Quantization of the Dirac field. Anticommutation relations and Fermi statistics.

Learning Prerequisites

Required courses

Classical Electrodynamics, Quantum Mechanics I and II, Analytical Mechanics

Recommended courses

Mathematical Physics warmly recommmended

Learning Outcomes

By the end of the course, the student must be able to:

Transversal skills

Teaching methods

Ex cathedra and exercises in class

Assessment methods

Exam: oral, consisting of one theoretical question and one exercise, picked randomly and for which the candidate is allowed a 30 minute preparation

Resources

Bibliography

Ressources en bibliothèque
Websites
Moodle Link

Prerequisite for

Recommended  for Theoretical Physics and for Particle Physics

In the programs

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16 CE1105   
16-17    
17-18 CE1105   
18-19    
19-20    
20-21    
21-22    
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German